Twofold exp and log

Abstract

This article is about twofold arithmetic. Here I introduce algorithms and experimental code for twofold variant of C/C++ standard functions exp() and log(), and expm1() and log1p(). Twofold function $y_0+y_1\approx f(x_0+x_1)$ is nearly 2x-precise so can assess accuracy of standard one. Performance allows assessing on-fly: twofold texp() over double is ~10x times faster than expq() by GNU quadmath.

arXiv commentExperimental code and tests at "twofolds" project Web site: https://sites.google.com/site/yevgenylatkin/

References in corpus (2)

• Floating-Point Numbers with Error Estimates (revised)
• Twofold fast arithmetic